Nokia announced its air-to-ground connectivity network late last year with internet speeds as fast or faster than those of the in-flight internet company Gogo. Having its own Wi-Fi system on planes could allow Google to funnel people toward its entertainment products, like YouTube or Play Music.

If an acquisition goes through, it will be one of several connectivity-focused projects that Google parent company Alphabet is working on. There's Fiber, a stalled effort to blanket the country with super-fast internet service; Loon, which uses giant balloons to beam internet to remote areas; and a partnership with Starbucks to provide Wi-Fi to customers.

Bloomberg reports that the in-flight Wi-Fi technology is less of a priority for Nokia than its other telecom efforts. For example, in February Nokia acquired a mesh Wi-Fi start-up that works with Google Fiber as it tries to makes a push into home Wi-Fi.

Alphabet and Nokia didn't immediately respond to a request for comment.